A035495 Number of musical scales consisting of n notes.

1, 1, 6, 19, 43, 66, 80, 66, 43, 19, 6, 1, 1

Offset

0,3

Links

Table of n, a(n) for n=0..12.

H. Fripertinger, Enumeration in musical theory, Séminaire Lotharingien de Combinatoire, B26a (1991), 14 pp.

R. C. Read, Combinatorial problems in theory of music, Discrete Math. 167 (1997), 543-551.

Formula

Coefficient of x^n in cycle index Z(C_12; 1+x).

Mathematica

CycleIndexPolynomial[CyclicGroup[12], Table[1 + x^k, {k, 1, 12}]] // CoefficientList[#, x]& (* Jean-François Alcover, Nov 04 2016 *)

Crossrefs

Sequence in context: A173980 A299281 A212684 * A061293 A005900 A138357

Adjacent sequences: A035492 A035493 A035494 * A035496 A035497 A035498

Keyword

nonn,fini,full,nice

Author

N. J. A. Sloane

Status

approved